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T. Manteuffel, S. McCormick, C. Pflaum

Improved discretization error estimates for first-order system least squares

Keywords: Least squares discretization, finite elements, error analysis

We study the discretization accuracy for first-order system least squares (FOSLS) applied to Poisson's equation as a model problem. The FOSLS formulation is based on an H ¹ elliptic bilinear form ?. Since the order of convergence of the discretization in the L ² and H ¹ norms depends on the regularity of ?, we examine this property in detail. We then use these results together with an Aubin-Nitsche bound to develop improved discretization error estimates.

Journal of Numerical Mathematics, Walter de Gruyter

Print ISSN: 1570-2820
Volume: 11, 06/2003
Pages: 163 - 177

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